Prime p₀= 1089879768773927009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 160 2 4 2 82 2 124 2 (?)
a_n: 0 2 48 50 60 62 222 224 228 230 312 314 438 440
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 440
Found by: sorcrosc
db: batch=76, k=14, 46 10 160 4 82 124

SPT(18)	1089878608012370611	0 10 30 66 88 96 108 136 178 240 282 310 322 330 352 388 408 418	-1160761556398
SPT(16)	1089878620127452907	0 42 44 56 66 90 120 140 156 176 206 230 240 252 254 296	-1148646474102
TPT(14)	1089878784606532871	0 2 60 62 96 98 186 188 210 212 228 230 240 242	-984167394138
STPT(10)	1089878869242496181	0 2 36 38 78 80 120 122 156 158	-899531430828
SPT(16)	1089879207470205979	0 24 58 72 100 114 138 154 168 184 208 222 250 264 298 322	-561303721030
SPT(16)	1089879518249203921	0 18 52 66 70 88 162 166 192 196 270 288 292 306 340 358	-250524723088
STPT(10)	1089880020771360407	0 2 30 32 42 44 54 56 84 86	251997433398
SPT(16)	1089880456772439643	0 16 36 58 64 84 100 136 168 204 220 240 246 268 288 304	687998512634
SPT(16)	1089880613129933591	0 30 32 92 150 158 170 182 228 240 252 260 318 378 380 410	844356006582
STPT(10)	1089880747364922341	0 2 6 8 48 50 90 92 96 98	978590995332
SPT(16)	1089880990971462541	0 36 66 106 112 118 130 148 150 168 180 186 192 232 262 298	1222197535532